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Articles

Two-dimensional thermal modelling with specular reflections in an experimental annealing furnace

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Pages 23-39 | Received 13 Nov 2015, Accepted 31 Aug 2016, Published online: 11 Oct 2016

References

  • G. Totten, Steel Heat Treatment: metallurgy and Technologies, 2nd ed., Taylor & Francis, Boca Raton, FL, 2006.
  • L. Bordignon, G. Angeli, H. Bolt, R. Hekkens, W. Maschek, J. Paavilainen, and X. Eynde, Enhanced hot dip galvanising by controlled oxidation in the annealing furnace, in Proceedings of the 44th Mechanical Working and Steel Processing Conference (MWSP), Vol. XL, Iron and Steel Society, Orlando, FL, 2002, pp. 833–844.
  • H. Pfeifer, B. Nacke, and F. Beneke, Praxishandbuch Thermoprozesstechnik, Band II: Anlagen, Komponenten, Sicherheit, 2nd ed., Vulkan Verlag, Essen, 2011.
  • S. Strommer, M. Niederer, A. Steinboeck, and A. Kugi, A mathematical model of a direct-fired continuous strip annealing furnace, Int. J. Heat Mass Transfer 69 (2014), pp. 375–389. doi:10.1016/j.ijheatmasstransfer.2013.10.001
  • M. Niederer, S. Strommer, A. Steinboeck, and A. Kugi, A simple control-oriented model of an indirect-fired strip annealing furnace, Int. J. Heat Mass Transfer 78 (2014), pp. 557–570. doi:10.1016/j.ijheatmasstransfer.2014.06.080
  • L. Vergara, J. Olivares, E. Iborra, M. Clement, A. Sanz-Hervás, and J. Sangrador, Effect of rapid thermal annealing on the crystal quality and the piezoelectric response of polycrystalline AlN films, Thin Solid Films 515 (2006), pp. 1814–1818. doi:10.1016/j.tsf.2006.07.002
  • J. Rivard, A. Sabau, C. Blue, E. Ohriner, and N. Jayaraman, Thermophysical properties of roll-compacted nickel sheet for high-density infrared sheet fabrication, Metall. Mater. Trans. 34 (2003), pp. 3043–3054. doi:10.1007/s11661-003-0202-1
  • M. Pettersson and S. Stenström, Absorption of infrared radiation and the radiation transfer mechanism in paper. Part II: Application to infrared dryers, J. Pulp Paper Sci. 24 (1998), pp. 356–363.
  • M. Pettersson and S. Stenström, Modelling of an electric IR heater at transient and steady state conditions: Part I: Model and validation, Int. J. Heat Mass Transfer 43 (2000), pp. 1209–1222. doi:10.1016/S0017-9310(99)00201-X
  • F.M. Schmidt, Y.L. Maoult, and S. Monteix, Modelling of infrared heating of thermoplastic sheet used in thermoforming process, J. Mater. Process. Technol. 143-144 (2003), pp. 225–231. doi:10.1016/S0924-0136(03)00291-7
  • J. Howell, A Catalog of Radiation Heat Transfer Configuration Factors, University of Texas at Austin, 2010. 16 March 2016 Available at http://www.thermalradiation.net/indexCat.html
  • R. Siegel and J. Howell, Thermal Radiation Heat Transfer, 4th ed., Taylor & Francis, New York, 2002.
  • M. Modest, Radiative Heat Transfer, 2nd ed., Academic Press, Burlington, 2003.
  • A.M. Abdel-Ghany and T. Kozai, Radiation exchange factors between specular inner surfaces of a rectangular enclosure such as transplant production unit, Energy Convers. Manage. 47 (2006), pp. 1988–1998. doi:10.1016/j.enconman.2005.09.009
  • R.L. Billings, J.W. Barnes, J.R. Howell, and O.E. Slotboom, Markov analysis of radiative transfer in specular enclosures, J. Heat Transfer–Trans. ASME 113 (1991), pp. 429–436. doi:10.1115/1.2910579
  • L. Jadachowski, A. Steinboeck, and A. Kugi, Heat transfer with specular reflections in an experimental annealing device, IFAC-PapersOnLine 48 (2015), pp. 494–499. doi:10.1016/j.ifacol.2015.05.069
  • P. Logerais and A. Bouteville, Modelling of an infrared halogen lamp in a rapid thermal system, Int. J. Thermal Sci. 49 (2010), pp. 1437–1445. doi:10.1016/j.ijthermalsci.2010.03.003
  • F.P. Incropera, D.P. Dewitt, T.L. Bergman, and A.S. Lavine, Fundamentals of Heat and Mass Transfer, John Wiley & Sons, Hoboken, NJ, 2007.
  • J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Springer, New York, 2002.
  • P. Roache, Perspective: A method for uniform reporting of grid refinement studies, J. Fluids Eng. 116 (1994), pp. 405–413. doi:10.1115/1.2910291
  • L. Richardson, The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam, Trans. Royal Soc. London 210 (1911), pp. 307–357. doi:10.1098/rsta.1911.0009
  • B. Cosson, F. Schmidt, Y. Le Maoult, and M. Bordival, Infrared heating stage simulation of semi-transparent media (PET) using ray tracing method, Int. J. Mater. Form. 4 (2011), pp. 1–10. doi:10.1007/s12289-010-0985-8
  • ANSYS, Inc. Thermal Analysis Guide, ANSYS, Inc., Canonsburg, PA, 2009. Release 12.0.
  • M.F. Cohen and D.P. Greenberg, The hemi-cube: A Radiosity solution for complex environments, ACM SIGGRAPH Comput. Graphics 19 (1985), pp. 31–40. doi:10.1145/325165
  • K.J. Daun, D.P. Morton, and J.R. Howell, Smoothing Monte Carlo exchange factors through constrained maximum likelihood estimation, J. Heat Transfer–Trans. ASME 127 (2005), pp. 1124–1128. doi:10.1115/1.2035111

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